I was presenting at a conference recently and one presenter was talking about a University/DOD/US Army research program about making flexible screens. Screens that could be attached to a soldiers arm, etc. Also read the same day about a problem with the iPod Nano (see Apple responds to iPod nano screen concerns) and the screens breaking when they are dropped.
Screens don't need to be hugely flexible, just flexible enough so that if dropped they bend rather than break. After all what would you do if you could wrap a screen around your finger?